{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "3a09a3b0",
   "metadata": {},
   "source": [
    "Risk Factors in USD Libor Market\n",
    "================================\n",
    "\n",
    "In this notebook, we perform a classical analysis in risk management. Using 11 years of USD libor data (deposit and swap rates), we:\n",
    "\n",
    "- Compute a time series of zero-coupon curves, bootstrapped from the deposit and swap rates, using the QuantLib library\n",
    "- Sample these zero-coupon curves at constant maturities\n",
    "- Perform a Principal Components Analysis on the change in zero-coupon rates, using the numpy library\n",
    "\n",
    "The first 3 principal components account for over 95% of the total variance, and can be interpreted as follows:\n",
    "\n",
    "* The first factor represents an approximate parallel shift\n",
    "* The second factor represents a twist\n",
    "* The third factor represents a change in convexity\n",
    "\n",
    "The notebook demonstrates the use of high-level functions that hide much of the complexity of QuantLib."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "60cfdead",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "import os\n",
    "\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib.mlab as ml\n",
    "\n",
    "import pandas as pd\n",
    "from quantlib.util.rates import zero_rate, make_term_structure"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "697ae2d4",
   "metadata": {},
   "source": [
    "Bootstrapping Zero-Coupon Yield Curves\n",
    "----------------------------------\n",
    "\n",
    "A set of zero-coupon yield curves is bootstrapped from deposit and swap rates stored in the pandas DataFrame df_libor.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0963f244",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [],
   "source": [
    "df_libor = pd.read_pickle(os.path.join('..', 'data', 'df_libor.pkl'))\n",
    "\n",
    "dtObs = df_libor.index\n",
    "\n",
    "dtI = dtObs[range(0, len(dtObs) - 1, 60)]\n",
    "days = [10, 30, 90, 182, 365, 365 * 2, 365 * 3,\n",
    "            365 * 5, 365 * 10, 365 * 15]\n",
    "\n",
    "    # maturity in columns, observation days in rows\n",
    "zc_rate = np.empty((len(dtI), len(days)), dtype='float64')\n",
    "dt_maturity = np.empty_like(zc_rate, dtype='object')\n",
    "\n",
    "for i, obs_date in enumerate(dtI):\n",
    "    rates = df_libor.xs(obs_date) / 100\n",
    "    # bootstrap a term structure from the libor rates\n",
    "    ts = make_term_structure(rates, obs_date)\n",
    "    # compute zero-coupon rates for a range of maturities\n",
    "    (dt_maturity[i, ], zc_rate[i, ]) = zero_rate(ts, days, obs_date)\n",
    "\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "801a6f7a",
   "metadata": {},
   "source": [
    "Principal Components Analysis and Display\n",
    "-----------------------------------------\n",
    "\n",
    "The first three principal components identify the three major risk factors, and account for 95% of the total variance:\n",
    "\n",
    "* The first factor represents an approximate parallel shift\n",
    "* The second factor represents a twist\n",
    "* The third factor represents a change in convexity"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "4281f60f",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    }
   },
   "outputs": [
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",
      "text/html": [
       "\n",
       "            <div style=\"display: inline-block;\">\n",
       "                <div class=\"jupyter-widgets widget-label\" style=\"text-align: center;\">\n",
       "                    Figure\n",
       "                </div>\n",
       "                <img src='' width=1500.0/>\n",
       "            </div>\n",
       "        "
      ],
      "text/plain": [
       "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn import decomposition\n",
    "pca = decomposition.PCA()\n",
    "# compute rate change\n",
    "zc_diff = np.diff(zc_rate, axis=0)\n",
    "# PCA on rate change\n",
    "zc_pca = pca.fit(zc_diff)\n",
    "\n",
    "fig = plt.figure()\n",
    "fig.set_size_inches(15,6)\n",
    "\n",
    "ax = fig.add_subplot(121)\n",
    "\n",
    "# compute x-axis limits\n",
    "dtMin = dt_maturity[0,0]\n",
    "dtMax = dt_maturity[-1,-1]\n",
    "    \n",
    "ax.set_xlim(dtMin, dtMax)\n",
    "ax.set_ylim(0.0, 0.1)\n",
    "    \n",
    "# plot a few curves\n",
    "for i in range(0, len(dtI),3):\n",
    "    ax.plot(dt_maturity[i,], zc_rate[i,])\n",
    "plt.title('Zero-Coupon USD Libor: 2000 to 2010')\n",
    "\n",
    "ax2 = fig.add_subplot(122)\n",
    "ttm = np.array(days)/365.0\n",
    "ax2.plot(ttm, zc_pca.components_[0], 'k--', ttm, zc_pca.components_[1], 'k:', ttm, zc_pca.components_[2], 'k')\n",
    "leg = ax2.legend(('PC 1', 'PC 2', 'PC 3'))\n",
    "plt.title('First 3 Principal Components of USD Libor')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "ce79edf4-9c15-4cad-b886-2c1f43714bb0",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
